Pith Number

pith:UP2B4S2U

pith:2025:UP2B4S2U7KHVBXXYBIYWY6NZVE

not attested not anchored not stored refs pending

Notes on completely positive maps and continuous-time Markovian CP evolution. A geometry-flavored perspective

Paul E. Lammert

arxiv:2507.11766 v6 · 2025-07-15 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UP2B4S2U7KHVBXXYBIYWY6NZVE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Existence of Kraus decomposition in infinite dimension via strongly-convergent direct process tomography

Receipt and verification

First computed	2026-06-19T16:12:14.232885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f41e4b54fa8f50def80a316c79b9a91fd559cffe0b3a7031ea5eb3af7a0998

Aliases

arxiv: 2507.11766 · arxiv_version: 2507.11766v6 · doi: 10.48550/arxiv.2507.11766 · pith_short_12: UP2B4S2U7KHV · pith_short_16: UP2B4S2U7KHVBXXY · pith_short_8: UP2B4S2U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UP2B4S2U7KHVBXXYBIYWY6NZVE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a3f41e4b54fa8f50def80a316c79b9a91fd559cffe0b3a7031ea5eb3af7a0998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9faad4ed24a5e52c62cd7b383ae374f6e2f3334552a305416c7c279e40a87a1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-15T22:15:34Z",
    "title_canon_sha256": "65999bb6ee3c69d524e13ed7f53ff0423e0b00c7a1ac6962348d88eceacf2248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11766",
    "kind": "arxiv",
    "version": 6
  }
}